Find the Boolean function from the given truth table.

The truth table 

represents the Boolean function 

(A) $X$ 

(B) $X + Y$ 

(C) $X \bigoplus  Y$ 

(D) $Y$ 

(GATE 2012) 

Answer: (A) $X$ 

Explanation: 

From the given truth table, we get 

$f(X, Y)$ 

$= XY' + XY$ 

$= X(Y' + Y)$ 

$=X$ 

Previous Post Next Post